Question:

Two capillary tubes A and B of diameter $1\, mm$ and $2\, mm$ respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is

Updated On: Jun 4, 2024
  • 2 cm
  • 3 cm
  • 4 cm
  • 6 cm
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The Correct Option is B

Solution and Explanation

Diameters of capillary tube, $A=1\, mm$
Diameters of capillary tube, $B=2\, mm$
and $h_{1}=6\, m$
We know that, $h_{1} I_{1}=h_{2} I_{2}$
$\Rightarrow 6 \times 1=h_{2} \times 2$
$\Rightarrow$ Capilliary rise in tube $B$,
$h_{2}=\frac{6}{2}=3\, cm$
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Concepts Used:

Surface Tension

The amount of energy required to increase the liquid's surface area by one unit area is known as surface tension. In other words, it is a property of the liquid surface to resist force.

Surface tension is defined as,

The ratio of the surface force F to the length L along which the force acts.

Mathematically, the surface tension formula can be expressed as follows:

T=F/L

Where,

  • F is the force per unit length
  • L is the length in which force act
  • T is the surface tension of the liquid

Read More: Detergents and Surface Tension

Factors affecting surface tension:

  • Impurities: The surface tension decreases with the addition of impurities.
  • Surfactants: Adding surfactants in liquids lowers the tension of water making it interrupt aside or get susceptible.
  • Temperature: The surface tension of a liquid reduces as the temperature rises.

The Unit of Surface Tension:

The SI unit of Surface Tension is Newton per Meter or N/m.